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Mechanical Vibration All Important Formulas for GATE Video Lecture - Mechanical Engineering

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1. What are the main types of mechanical vibrations?
Ans. The main types of mechanical vibrations are free vibrations and forced vibrations. Free vibrations occur when a system is disturbed and left to vibrate on its own, while forced vibrations occur when a system is subjected to an external force or excitation.
2. What are the key parameters used to describe mechanical vibrations?
Ans. The key parameters used to describe mechanical vibrations include amplitude, frequency, period, and damping. Amplitude represents the maximum displacement of a vibrating system from its equilibrium position, frequency is the number of oscillations per unit time, period is the time taken to complete one full oscillation, and damping refers to the dissipation of energy in a vibrating system.
3. How can the natural frequency of a mechanical system be determined?
Ans. The natural frequency of a mechanical system can be determined by analyzing its mass, stiffness, and damping characteristics. These parameters can be used to calculate the natural frequency using the formula: Natural Frequency (ωn) = √(Stiffness/Mass).
4. What is resonance in mechanical vibrations?
Ans. Resonance in mechanical vibrations occurs when the frequency of an external force or excitation matches the natural frequency of a vibrating system. This leads to a significant increase in the amplitude of vibrations, which can potentially cause damage to the system if not controlled.
5. How does damping affect mechanical vibrations?
Ans. Damping affects mechanical vibrations by dissipating the energy of the vibrating system, causing the amplitude of vibrations to decrease over time. It is crucial in controlling the response of a vibrating system and reducing the risk of resonance. Different types of damping, such as viscous damping and structural damping, can be employed to control vibrations in mechanical systems.
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